The generator matrix 1 0 0 0 1 1 1 X 1 1 X 1 X X 1 1 0 1 1 1 X 1 0 1 1 1 1 1 1 1 0 1 X 1 X X 1 0 1 1 X 1 0 1 0 0 0 0 0 0 1 X+1 1 1 1 1 X+1 X 1 X 1 X 1 1 1 1 0 X+1 X X+1 X X+1 1 0 X X 1 1 1 1 X+1 X+1 1 1 0 0 1 0 0 1 X+1 1 1 1 X 0 X+1 1 0 0 X X 1 X+1 X 0 0 X+1 X 1 X+1 X+1 X+1 X X+1 0 1 0 0 X X X+1 1 X 1 0 0 0 0 1 1 X+1 0 X+1 X 1 1 X+1 X+1 X 0 X 1 X+1 1 0 X+1 X+1 1 X 1 X+1 1 X X+1 X 0 X X 0 0 0 X X X+1 0 1 X 0 0 0 0 X X X 0 X X 0 X 0 0 X X 0 0 0 0 X 0 X 0 0 0 0 X X 0 X 0 X X X 0 0 X X X X X generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+166x^38+77x^40+108x^42+33x^44+64x^46+10x^48+38x^50+7x^52+6x^54+2x^58 The gray image is a linear code over GF(2) with n=84, k=9 and d=38. This code was found by Heurico 1.16 in 3.8 seconds.